Ramsey Theory for Product Spaces

This book is devoted to one of the most important areas of Ramsey theory-the Ramsey theory of product spaces. It is a culmination of a series of recent breakthroughs by the two authors and their students who were able to lift this theory to the infinite-dimensional case. The book presents major results and methods in the area, such as Szemeredi's regularity method and the hypergraph removal lemma.